Question #26459

Farmer Crockett is preparing tomato seedlings for his spring planting by growing the small plants over five 46-ohms strip heaters wired in parallel. a) How much current does each heater draw from a 120-V line? b) How much current do they all have together?

Expert's answer

Question#26459

Farmer Crockett is preparing tomato seedlings for his spring planting by growing the small plants over five 46-ohms strip heaters wired in parallel.

a) How much current does each heater draw from a 120-V line?

b) How much current do they all have together?

Solution:

a) According to the Ohm’s law current on each heater is:


I=URI = \frac{U}{R}


where: U is voltage = 120 V, R is resistance of the heater = 46 ohms.


I=12046=2.609AI = \frac{120}{46} = 2.609\,A


b) On parallel connection the total current is as sum of all currents:


Itotal=I5=2.6095=13.045AI_{total} = I * 5 = 2.609 * 5 = 13.045\,A


Answer: current on each heater is: 2.609 A, the total current is 13.045 A.

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